Speaker:Xiao Yimin, Professor, Department of Statistics & Probability, Michigan State University

Date:Nov. 25, 2021

Time:9:00 a.m.

Location:Tencent Meeting, ID: 120 123 586

Sponsor:School of Mathematics, Shandong University

Abstract:

In this talk we present methods for establishing exact uniform and local modulus of continuity results for Gaussian random fields. In particular, we consider four types of limit theorems: the law of the iterated logarithm, uniform modulus of continuity, Chung’s law of the iterated logarithm, and the modulus of non-differentiability. For this purpose, we formulate a framework that will be convenient for studying the solutions of stochastic partial differential equations. An important technical tool in this framework is the property of strong local nondeterminism.

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https://www.view.sdu.edu.cn/info/1020/159591.htm